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Finding the Fourth Proportional to 261,318.80, 391,980.36 and 83,827.28

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Solution

The fourth proportional to 261,318.80, 391,980.36 and 83,827.28 is: 125,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,318.80 : 391,980.36 = 83,827.28 : x
  2. Step 2: Convert to fraction form
    261,318.80/391,980.36 = 83,827.28/x
  3. Step 3: Cross multiply
    261,318.80x = 391,980.36 × 83,827.28
  4. Step 4: Simplify right side
    261,318.80x = 32,858,647,392.22
  5. Step 5: Solve for x
    x = 32,858,647,392.22/261,318.80
  6. Step 6: Final answer
    x = 125,741.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.